Red or blue tensor spectrum from GW170817-compatible Einstein-Gauss-Bonnet theory: A detailed analysis

IF 1.8 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

EPL Pub Date : 2024-01-29 DOI:10.1209/0295-5075/ad239c

Vasilis K. Oikonomou, Pyotr Tsyba, Olga Razina

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引用次数: 0

Abstract In this work we shall prove that the tensor spectral index of theprimordial tensor perturbations for GW170817-compatibleEinstein-Gauss-Bonnet theories, takes the approximate simplifiedform $n_{\mathcal{T}}\simeq 2\left(-1+\frac{1}{\lambda(\phi)}\right)\epsilon_1$ at leading order, with $\lambda (\phi)$ being afunction of the scalar field which depends on the scalar fieldpotential and the second derivative of the scalar-Gauss-Bonnetcoupling $\xi''(\phi)$. With our analysis we aim to provide adefinitive criterion for selecting Einstein-Gauss-Bonnet modelsthat can provide a blue-tilted inflationary phenomenology, bysimply looking at the scalar potential and the scalar-Gauss-Bonnetcoupling. We shall prove this using two distinct approaches and aswe show the tilt of the tensor spectral index is determined by thevalues of the potential $V(\phi)$ and of scalar-Gauss-Bonnetcoupling at first horizon crossing. Specifically the blue-tiltedtensor spectral index can occur when $\xi''(\phi_*)V(\phi_*)>0$ atfirst horizon crossing.

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与 GW170817 兼容的爱因斯坦-高斯-波奈理论的红色或蓝色张量光谱：详细分析

摘要在这项工作中，我们将证明与GW170817兼容的爱因斯坦-高斯-波奈理论的原始张量扰动的张量谱指数采取近似简化形式$n_{\mathcal{T}}\simeq 2\left(-1+\frac{1}{\lambda(\phi)}&；#(\phi)$是标量场的一个函数，它取决于标量场势和标量-高斯-波奈耦合$\xi''(\phi)$的二阶导数。通过我们的分析，我们旨在提供一个明确的标准，通过简单地观察标量势和标量-高斯-波奈模型耦合，来选择能够提供蓝倾暴胀现象学的爱因斯坦-高斯-波奈模型。我们将用两种不同的方法来证明这一点，并证明张量谱指数的倾斜度是由第一地平线交叉时的势$V(\phi)$和标量-高斯-波奈耦合的值决定的。具体来说，当第一次地平穿越时的$\xi''(\phi_*)V(\phi_*)>0$出现时，就会出现蓝色倾斜张量光谱指数。

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来源期刊

EPL 物理-物理：综合

CiteScore

3.30

自引率

5.60%

发文量

332

审稿时长

1.9 months

期刊介绍： General physics – physics of elementary particles and fields – nuclear physics – atomic, molecular and optical physics – classical areas of phenomenology – physics of gases, plasmas and electrical discharges – condensed matter – cross-disciplinary physics and related areas of science and technology. Letters submitted to EPL should contain new results, ideas, concepts, experimental methods, theoretical treatments, including those with application potential and be of broad interest and importance to one or several sections of the physics community. The presentation should satisfy the specialist, yet remain understandable to the researchers in other fields through a suitable, clearly written introduction and conclusion (if appropriate). EPL also publishes Comments on Letters previously published in the Journal.

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